Least Common Multiple of 4268/228, 1316/3049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4268/228, 1316/3049 quickly i.e. 1404172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4268/228, 1316/3049 is 1404172.

LCM(4268/228, 1316/3049) = 1404172

LCM of 4268/228, 1316/3049

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 4268/228,1316/3049

Given numbers are 4268/228,1316/3049

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 4268,1316

Least Common Multiple of Numerators i.e. LCM of 4268,1316 is 1404172.

GCF of Denominators means GCF of 228,3049 as per the given fractions.

GCF of 228,3049 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4268,1316

LCM of Fractions 4268/228,1316/3049 is 1404172

2 4268, 1316
2 2134, 658
1067, 329

∴ So the LCM of the given numbers is 2 x 2 x 1067 x 329 = 1404172

Least Common Multiple of 4268,1316 with GCF Formula

Least Common Multiple of 4268,1316 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 4268,1316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4268,1316) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(4268,1316) x common factors =4 x 1 = 4

LCM(4268,1316) = ( 4268 × 1316 ) / 4

LCM(4268,1316) = 5616688 / 4

LCM(4268,1316) = 1404172


Lets's calculate GCF of 228,3049

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1404172/1

Therefore the LCM of Fractions 4268/228,1316/3049 is 1404172

Greatest Common Factor of 228,3049 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,3049 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 3049

List of positive integer factors of 3049 that divides 3049 without a remainder.

1,3049

Greatest Common Factor

We found the factors 228,3049 . The biggest common factor number is the GCF number.
So the greatest common factor 228,3049 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 4268/228, 1316/3049

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 4268/228, 1316/3049?

Answer: LCM of Numerators as per given numbers 4268/228, 1316/3049 is

LCM of Numerators i.e. for 4268,1316 is 1404172

GCF of denominators i.e. for 228,3049 is 1.

Thus, LCM of Fractions is 1404172.Finally, LCM of Fractions for 4268/228, 1316/3049 is 1404172.